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19369680 = 24351122329
BaseRepresentation
bin100100111100…
…0111011010000
31100110002012120
41021320323100
514424312210
61531054240
7323432241
oct111707320
940402176
1019369680
11aa2a800
1265a1380
134022565
142802cc8
151a79270
hex1278ed0

19369680 has 240 divisors, whose sum is σ = 71245440. Its totient is φ = 4336640.

The previous prime is 19369667. The next prime is 19369697. The reversal of 19369680 is 8696391.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667906 + ... + 667934.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 219369680 is an apocalyptic number.

19369680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19369680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

19369680 is an abundant number, since it is smaller than the sum of its proper divisors (51875760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19369680 is a wasteful number, since it uses less digits than its factorization.

19369680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 19369680 is about 4401.0998625344. The cubic root of 19369680 is about 268.5596828164.

Subtracting from 19369680 its reverse (8696391), we obtain a square (10673289 = 32672).

The spelling of 19369680 in words is "nineteen million, three hundred sixty-nine thousand, six hundred eighty".